Covering functionals of convex polytopes with few vertices

Abstract

By using elementary yet interesting observations and refining techniques used in a recent work by Fei Xue et al., we present new upper bounds for covering functionals of convex polytopes in ${\mathbb{R}}^n$ with few vertices. In these estimations, no information other than the number of vertices of the convex polytope is used.

References in corpus (1)

• On Hadwiger's covering functional for the simplex and the cross-polytope